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Finding the Fourth Proportional to 578.48, 798.20 and 329.76

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Solution

The fourth proportional to 578.48, 798.20 and 329.76 is: 455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.48 : 798.20 = 329.76 : x
  2. Step 2: Convert to fraction form
    578.48/798.20 = 329.76/x
  3. Step 3: Cross multiply
    578.48x = 798.20 × 329.76
  4. Step 4: Simplify right side
    578.48x = 263,214.43
  5. Step 5: Solve for x
    x = 263,214.43/578.48
  6. Step 6: Final answer
    x = 455.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.